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Finding the Fourth Proportional to 203,939.40, 305,909.10 and 140,953.80

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Solution

The fourth proportional to 203,939.40, 305,909.10 and 140,953.80 is: 211,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,939.40 : 305,909.10 = 140,953.80 : x
  2. Step 2: Convert to fraction form
    203,939.40/305,909.10 = 140,953.80/x
  3. Step 3: Cross multiply
    203,939.40x = 305,909.10 × 140,953.80
  4. Step 4: Simplify right side
    203,939.40x = 43,119,050,099.58
  5. Step 5: Solve for x
    x = 43,119,050,099.58/203,939.40
  6. Step 6: Final answer
    x = 211,430.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.